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Finding the Fourth Proportional to 11,507.47, 15,881.87 and 6,728.87

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Solution

The fourth proportional to 11,507.47, 15,881.87 and 6,728.87 is: 9,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.47 : 15,881.87 = 6,728.87 : x
  2. Step 2: Convert to fraction form
    11,507.47/15,881.87 = 6,728.87/x
  3. Step 3: Cross multiply
    11,507.47x = 15,881.87 × 6,728.87
  4. Step 4: Simplify right side
    11,507.47x = 106,867,095.11
  5. Step 5: Solve for x
    x = 106,867,095.11/11,507.47
  6. Step 6: Final answer
    x = 9,286.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.